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Finding the Fourth Proportional to 375.31, 517.72 and 227.99

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Solution

The fourth proportional to 375.31, 517.72 and 227.99 is: 314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.31 : 517.72 = 227.99 : x
  2. Step 2: Convert to fraction form
    375.31/517.72 = 227.99/x
  3. Step 3: Cross multiply
    375.31x = 517.72 × 227.99
  4. Step 4: Simplify right side
    375.31x = 118,034.98
  5. Step 5: Solve for x
    x = 118,034.98/375.31
  6. Step 6: Final answer
    x = 314.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.